Methods of nonlinear analysis: applications to differential equations
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel [u.a.]
Birkhäuser
2007
|
| Series: | Birkhäuser advanced texts: Basler Lehrbücher
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Auch als Internetausgabe |
| Physical Description: | XII, 568 S. graph. Darst. |
| ISBN: | 9783764381462 3764381469 |
Staff View
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Record in the Search Index
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Contents
Preface
їх
1
1.1
1.2
2
2.1
2.2
2.3
3
3.1
3.2
3.2A Newton Method
4
4.1
4.2
4.3
4.
and Vector Fields
4.3B Differential Forms
4.3C Integration on Manifolds
4.3D
5
5.1
5.1A Fixed Point Theorems for Noncompact Operators
5.2
5.2
5.2B Topological Degree for Generalized Monotone Operators
viii Contents
5.3
5.
5.4
5.4A
5.4B
6
6.1
6.2
6.2A
6.2B
6.3
6.3A Contractible Sets
6.3B Krasnoselski Potential Bifurcation Theorem
6.4
6.4A
6.4B Lusternik-Schnirelmann Method
6.5
6.5A Linking Theorem
7
7.1
7.2
7.3
7.4
7.5
7.5
Monotone Operators
7.6
7.6A Application of Leray-Lions Theorem
7.7
7.7A Application of the Saddle Point Theorem
Summary of Methods
Typical Applications
Comparison of Bifurcation Results
List of Symbols
Index
Bibliography |
| adam_txt |
Contents
Preface
їх
1
1.1
1.2
2
2.1
2.2
2.3
3
3.1
3.2
3.2A Newton Method
4
4.1
4.2
4.3
4.
and Vector Fields
4.3B Differential Forms
4.3C Integration on Manifolds
4.3D
5
5.1
5.1A Fixed Point Theorems for Noncompact Operators
5.2
5.2
5.2B Topological Degree for Generalized Monotone Operators
viii Contents
5.3
5.
5.4
5.4A
5.4B
6
6.1
6.2
6.2A
6.2B
6.3
6.3A Contractible Sets
6.3B Krasnoselski Potential Bifurcation Theorem
6.4
6.4A
6.4B Lusternik-Schnirelmann Method
6.5
6.5A Linking Theorem
7
7.1
7.2
7.3
7.4
7.5
7.5
Monotone Operators
7.6
7.6A Application of Leray-Lions Theorem
7.7
7.7A Application of the Saddle Point Theorem
Summary of Methods
Typical Applications
Comparison of Bifurcation Results
List of Symbols
Index
Bibliography |
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| author | Drábek, Pavel 1953- Milota, Jaroslav |
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| dewey-full | 515/.7248 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
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| index_date | 2024-07-02T16:41:13Z |
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| institution | BVB |
| isbn | 9783764381462 3764381469 |
| language | English |
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| spelling | Drábek, Pavel 1953- Verfasser (DE-588)172566258 aut Methods of nonlinear analysis applications to differential equations Pavel Drábek ; Jaroslav Milota Basel [u.a.] Birkhäuser 2007 XII, 568 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Birkhäuser advanced texts: Basler Lehrbücher Auch als Internetausgabe Analyse fonctionnelle non linéaire Équations différentielles Differential equations Nonlinear functional analysis Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Nichtlineare Analysis (DE-588)4177490-5 gnd rswk-swf Nichtlineare Analysis (DE-588)4177490-5 s Differentialgleichung (DE-588)4012249-9 s DE-604 Milota, Jaroslav Verfasser (DE-588)1051918138 aut text/html http://deposit.dnb.de/cgi-bin/dokserv?id=2875934&prov=M&dok_var=1&dok_ext=htm Inhaltstext Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015466850&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Drábek, Pavel 1953- Milota, Jaroslav Methods of nonlinear analysis applications to differential equations Analyse fonctionnelle non linéaire Équations différentielles Differential equations Nonlinear functional analysis Differentialgleichung (DE-588)4012249-9 gnd Nichtlineare Analysis (DE-588)4177490-5 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)4177490-5 |
| title | Methods of nonlinear analysis applications to differential equations |
| title_auth | Methods of nonlinear analysis applications to differential equations |
| title_exact_search | Methods of nonlinear analysis applications to differential equations |
| title_exact_search_txtP | Methods of nonlinear analysis applications to differential equations |
| title_full | Methods of nonlinear analysis applications to differential equations Pavel Drábek ; Jaroslav Milota |
| title_fullStr | Methods of nonlinear analysis applications to differential equations Pavel Drábek ; Jaroslav Milota |
| title_full_unstemmed | Methods of nonlinear analysis applications to differential equations Pavel Drábek ; Jaroslav Milota |
| title_short | Methods of nonlinear analysis |
| title_sort | methods of nonlinear analysis applications to differential equations |
| title_sub | applications to differential equations |
| topic | Analyse fonctionnelle non linéaire Équations différentielles Differential equations Nonlinear functional analysis Differentialgleichung (DE-588)4012249-9 gnd Nichtlineare Analysis (DE-588)4177490-5 gnd |
| topic_facet | Analyse fonctionnelle non linéaire Équations différentielles Differential equations Nonlinear functional analysis Differentialgleichung Nichtlineare Analysis |
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